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12971871 = 3211283463
BaseRepresentation
bin110001011110…
…111101011111
3220102001001200
4301132331133
511310044441
61142010543
7215154603
oct61367537
926361050
1012971871
11735aa60
124416a53
1328c2483
141a19503
1512137b6
hexc5ef5f

12971871 has 24 divisors (see below), whose sum is σ = 20557056. Its totient is φ = 7817040.

The previous prime is 12971863. The next prime is 12971887. The reversal of 12971871 is 17817921.

12971871 is a nontrivial binomial coefficient, being equal to C(5094, 2).

It is not a de Polignac number, because 12971871 - 23 = 12971863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12971831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27786 + ... + 28248.

It is an arithmetic number, because the mean of its divisors is an integer number (856544).

Almost surely, 212971871 is an apocalyptic number.

12971871 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12971871 is the 5093-rd triangular number and also the 2547-th hexagonal number.

12971871 is a deficient number, since it is larger than the sum of its proper divisors (7585185).

12971871 is a wasteful number, since it uses less digits than its factorization.

12971871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 760 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 12971871 is about 3601.6483726205. The cubic root of 12971871 is about 234.9637547842.

The spelling of 12971871 in words is "twelve million, nine hundred seventy-one thousand, eight hundred seventy-one".

Divisors: 1 3 9 11 33 99 283 463 849 1389 2547 3113 4167 5093 9339 15279 28017 45837 131029 393087 1179261 1441319 4323957 12971871